
Then (Loc2) holds.
Gibbs processes with this PI are called area interaction
processes. Their
existence is shown in [1]} for \(\mathbb {Q}\)  with finite support and in
[2]} for dimesion \(d\le 2\) .
If \(\mathbb {Q}([r_1,\infty ))=1\)  for some \(r_1>0\) , then
(Dom2) is satisfied and Theorem REF  applies for all boundary
conditions. If
\(\beta >0\) , (REF ) and (REF ) can easily be
verified and Theorem REF  also applies.

